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Simplifying 3[6 + 3(3x + -4)] = 11x + -162 Reorder the terms: 3[6 + 3(-4 + 3x)] = 11x + -162 3[6 + (-4 * 3 + 3x * 3)] = 11x + -162 3[6 + (-12 + 9x)] = 11x + -162 Combine like terms: 6 + -12 = -6 3[-6 + 9x] = 11x + -162 [-6 * 3 + 9x * 3] = 11x + -162 [-18 + 27x] = 11x + -162 Reorder the terms: -18 + 27x = -162 + 11x Solving -18 + 27x = -162 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -18 + 27x + -11x = -162 + 11x + -11x Combine like terms: 27x + -11x = 16x -18 + 16x = -162 + 11x + -11x Combine like terms: 11x + -11x = 0 -18 + 16x = -162 + 0 -18 + 16x = -162 Add '18' to each side of the equation. -18 + 18 + 16x = -162 + 18 Combine like terms: -18 + 18 = 0 0 + 16x = -162 + 18 16x = -162 + 18 Combine like terms: -162 + 18 = -144 16x = -144 Divide each side by '16'. x = -9 Simplifying x = -9
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